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CCSS 8.G.B.6 Worksheets

Grade 8 Β· Geometry

Explain why the Pythagorean theorem and its converse are true by working through a proof of each.

Below are free printable worksheets that support 8.G.B.6. Print them as PDFs, or generate a fresh one. Every math answer key is computed in code, so it is never wrong.

Teaching guide

What students learn

Explain why the Pythagorean theorem and its converse are true by working through a proof of each.

Worked example
A right triangle has hypotenuse 13 and one leg 5. Find the other leg.
Answer: 12
Why: 132βˆ’52\sqrt{13^{2} - 5^{2}} = 169βˆ’25\sqrt{169 - 25} = 144\sqrt{144} = 12

Generated and checked in code, so it is correct.

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More Grade 8 standards: 8.NS.A.1 Β· 8.EE.A.1 Β· 8.EE.A.2 Β· 8.EE.B.5 Β· 8.EE.C.7 Β· 8.EE.C.8 Β· 8.F.A.1 Β· 8.F.B.4
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